Department of

# Mathematics

Seminar Calendar
for events the day of Monday, August 25, 2014.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Monday, August 25, 2014

3:00 pm in 243 Altgeld Hall,Monday, August 25, 2014

#### Spectral Networks and Harmonic Maps

###### Andrew Neitzke (U. Texas)

Abstract: I will describe some geometric objects called “spectral networks." Concretely, a spectral network is a collection of paths drawn on a Riemann surface, carrying certain discrete decorations and obeying certain local rules. I will also describe an application of spectral networks to the computation of harmonic maps into symmetric spaces (as a special case of a more general application to solutions of Hitchin equations). The story is mainly joint work with Davide Gaiotto and Greg Moore; it arose out of the study of certain 4-dimensional supersymmetric quantum field theories. The talk will be available on YouTube at http://youtu.be/8ut-Q1GBIbk